Abstract

We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure subject to end forces. Both statical (buckling) and dynamical (whirling) instability are considered and five also compute post-buckling configurations. The theory used is the geometrically exact Cosserat rod theory the consider two types of boundary conditions: the traditional welded boundary conditions (for tether-like applications) and a novel set of boundary conditions that give rise to exact helical post-buckling solutions. Our results are relevant for current designs of electrodynamic space tethers and potentially for future applications in nano- and molecular wires.

Type:

Proceedings paper

Title:

Instability of a whirling conducting rod in the presence of a magnetic field. application to the problem of space tethers

Event:

5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control